An Introduction to Mathematical Physiology and Biology

2. Auflage 2010
ISBN: 978-0-521-64110-4
Verlag: Cambridge University Press

Buch, Englisch, Band 16, 242 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 549 g

Reihe: Cambridge Studies in Mathematical Biology

This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. A range of topics are discussed: diffusion population dynamics, autonomous differential equations and the stability of ecosystems, biogeography, pharmokinetics, biofluid mechanics, cardiac mechanics, the spectral analysis of heart sounds using FFT techniques. The last chapter deals with a wide variety of commonly used medical devices. This book is based on courses taught by the author over many years and the material is well class tested. The reader is aided by many exercises that examine key points and extend the presentation in the body of the text. All students of mathematical biology will find this book to be a highly useful resource.

Autoren/Hrsg.

Mazumdar, J.

Cannings, C.

Hoppensteadt, F. C.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

Preface; 1. Dimensional analysis in mathematical physiology; 2. The mathematics of diffusion; 3. Population biology; 4. Biogeography: mathematical analysis of wildlife reserves; 5. Pharmacokinetics: drug distribution in pharmacology; 6. Mathematical modelling in epidemiology; 7. Modelling the AIDS epidemic; 8. Biological fluid mechanics; 9. Analysis and applications of left ventricular mechanics; 10. Analysis and applications of heart valve vibration; 11. Medical devices; Glossary of terms; References; Index.

Über Autor(innen)

Mazumdar, J.
Professor Mazumdar is an Adjunct Professor in the School of Mathematical Sciences as well as in the School of Electrical and Electronic Engineering of the University of Adelaide. His main research interests are in the fields of Solid Mechanics, Mathematical Biology, Biomechanics and Biomedical Engineering. He has published nearly 200 research papers in these areas. He has written two books entitled An Introduction to Mathematical Physiology and Biology, 2nd edition, Cambridge University Press 1999, and Biofluid Mechanics' World Scientific,1992. He has also written chapters in a number of well-known books. The details of his research activities can be viewed in his homepage www.maths.adelaide.edu.au/people/jmazumdar. Professor Mazumdar is a recipient of number of prestigious awards. He is a Fellow of a number of academic bodies.